2348720909568 has 1296 divisors, whose sum is σ = 8519102242560. Its totient is φ = 617815080960.

The previous prime is 2348720909519. The next prime is 2348720909603. The reversal of 2348720909568 is 8659090278432.

2348720909568 is a `hidden beast` number, since 2 + 3 + 48 + 7 + 20 + 9 + 0 + 9 + 568 = 666.

It is a super-2 number, since 2×2348720909568² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3161131405 + ... + 3161132147.

It is an arithmetic number, because the mean of its divisors is an integer number (6573381360).

Almost surely, 2^{2348720909568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348720909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259551121280).

2348720909568 is an abundant number, since it is smaller than the sum of its proper divisors (6170381332992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2348720909568 is a wasteful number, since it uses less digits than its factorization.

2348720909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2348720909568 in words is "two trillion, three hundred forty-eight billion, seven hundred twenty million, nine hundred nine thousand, five hundred sixty-eight".